TITLE:
Existence of Equilibrium Points in the R3BP with Variable Mass When the Smaller Primary is an Oblate Spheroid
AUTHORS:
M. R. Hassan, Sweta Kumari, Md. Aminul Hassan
KEYWORDS:
Restricted Three-Body Problem, Jean’s Law, Space-Time Transformation, Oblateness, Equilibrium Points, Surface of Zero-Velocity
JOURNAL NAME:
International Journal of Astronomy and Astrophysics,
Vol.7 No.2,
April
12,
2017
ABSTRACT: The paper deals with the existence of equilibrium points in the restricted three-body problem when the smaller primary is an oblate spheroid and the infinitesimal body is of variable mass. Following the method of small parameters; the co-ordinates of collinear equilibrium points have been calculated, whereas the co-ordinates of triangular equilibrium points are established by classical method. On studying the surface of zero-velocity curves, it is found that the mass reduction factor has very minor effect on the location of the equilibrium points; whereas the oblateness parameter of the smaller primary has a significant role on the existence of equilibrium points.